First-order phase transition in 1d Potts model with long-range interactions

1998/07/31 by K. Uzelac, Z. Glumac
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as FIZIKA B 6 (1997), 3, 133-139 · 10 pages, 3 figures

arxiv created 1998/07/31 · arxiv updated 2009/11/30

Abstract

The first-order phase transition in the one-dimensional q-state Potts model with long-range interactions decaying with distance as 1/r^1+σ has been studied by Monte Carlo numerical simulations for 0 < σ≤ 1 and integer values of q > 2. On the basis of finite-size scaling analysis of interface free energy ΔF_L, specific heat and Binder's fourth order cumulant, we obtain the first-order transition which occurs for σ below a threshold value σ_c(q).

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